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Across dimensions: Two- and three-dimensional phase transitions from the iterative renormalization-group theory of chains

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Across Dimensions Two- and Three-Dimensional Phase Transitions.pdf (1.195Mb)
Date
2020
Author
Keçoğlu, İbrahim
Berker, Ahmet Nihat
Abstract
Sharp two- and three-dimensional phase transitional magnetization curves are obtained by an iterative renormalization-group coupling of Ising chains, which are solved exactly. The chains by themselves do not have a phase transition or nonzero magnetization, but the method reflects crossover from temperaturelike to fieldlike renormalization-group flows as the mechanism for the higher-dimensional phase transitions. The magnetization of each chain acts, via the interaction constant, as a magnetic field on its neighboring chains, thus entering its renormalization-group calculation. The method is highly flexible for wide application.

Source

Physıcal Revıew E

Issue

3

Volume

102

URI

https://doi.org/10.1103/PhysRevE.102.032134
https://hdl.handle.net/20.500.12469/3490

Collections

  • Araştırma Çıktıları / Scopus [1345]
  • Araştırma Çıktıları / WOS [1335]
  • Elektrik-Elektronik Mühendisliği / Electrical - Electronics Engineering [330]

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